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Finding the Third Proportional to 71,328 and 110,389

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Solution

The third proportional to 71,328 and 110,389 is: 170,840.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,328 : 110,389 = 110,389 : x
  2. Step 2: Convert to fraction form
    71,328/110,389 = 110,389/x
  3. Step 3: Cross multiply
    71,328x = 110,389 × 110,389
  4. Step 4: Simplify right side
    71,328x = 12,185,731,321
  5. Step 5: Solve for x
    x = 12,185,731,321/71,328
  6. Step 6: Final answer
    x = 170,840.78

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.